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arxiv: 2606.05969 · v1 · pith:ZJPPQBKQnew · submitted 2026-06-04 · 🧮 math.DG · physics.class-ph

Minimal surfaces: A Lagrangian derivation of first and second variations

classification 🧮 math.DG physics.class-ph
keywords variationsfirstlagrangianminimalsecondsurfacesargumentarticle
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This article develops a rigorous Lagrangian formulation of variational calculus for minimal surfaces, using extensively the concept of pullback covariant derivative. It is shown, in particular, using a geometric argument that all tangential variations vanish. First and second normal variations are then derived.

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